Modular methodology for the mathematical modeling of dynamic systems extended for distributed parameter systems

• Grant number: 16/09730-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2016
• End date: February 28, 2018
• Field of knowledge: Engineering - Mechanical Engineering
• Principal Investigator: Celso Pupo Pesce
• Grantee: Renato Maia Matarazzo Orsino
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

A literature review on mathematical modeling of dynamic systems reveals that the main developments on the areas of lumped parameter systems and distributed parameter systems are far apart from each other, from the abstract conception of the models to simulation techniques. If, in one hand, it would be useful to propose an unified point of view for the modeling procedures of both lumped and distributed parameter systems, on the other hand, it would be unpractical to assume that the accomplishment of such an objetive would involve the development of novel formalisms other than the traditional ones. A much more straightforward approach would involve the use of as much already known models (derived according to conventional formalisms) as possible in the modeling of a given dynamic system. This possibility has been extensively explored in the modular modeling methodology, proposed by the candidate in his doctoral thesis, although still restricted to lumped parameter systems. In this methodology, a complex system can be conceived as a hierarchy of subsystems, and the description of the constraints among them, along with the mathematical models of the elementar subsystems is sufficient for the derivation of a model for the whole system. The main objective of the research project proposed in this plan is the extension of the same perspective and language of the original modular methodology to address, concomitantly, lumped and distributed parameters subsystems. In order to motivate a formalization of the novel methodology focusing on actual Engineering applications, case studies on fluid-structure interaction are going to be developed along with the research. This area of knowledge not only is one of the research lines of Offshore Mechanics Laboratory, but also involves multi-physics subsystems, being a promising area for testing the novel methodology. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MATARAZZO ORSINO, RENATO MAIA; PESCE, CELSO PUPO. Reduced order modeling of a cantilevered pipe conveying fluid applying a modular methodology. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, v. 103, p. 1-11, JUL 2018. (16/09730-0)

MATARAZZO ORSINO, RENATO MAIA; PESCE, CELSO PUPO. Readdressing the classic falling U-chain problem by a modular nonlinear FEM approach. ACTA MECHANICA, v. 229, n. 7, p. 3107-3122, JUL 2018. (16/09730-0)

MALVEZZI, FERNANDO; ORSINO, RENATO M. M.; HESS COELHO, TARCISIO ANTONIO; FLEURY, AD; RADE, DA; KURKA, PRG. Lagrange's, Maggi's and Kane's Equations Applied to the Dynamic Modelling of Serial Manipulator. PROCEEDINGS OF DINAME 2017, v. N/A, p. 14-pg., 2019-01-01. (16/09730-0)

MATARAZZO ORSINO, RENATO MAIA; PESCE, CELSO PUPO. Modular methodology applied to the nonlinear modeling of a pipe conveying fluid. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 40, n. 2, FEB 2018. (16/09730-0)

MATARAZZO ORSINO, RENATO MAIA. Recursive modular modelling methodology for lumped-parameter dynamic systems. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SC, v. 473, n. 2204, AUG 1 2017. (16/09730-0)